Place asparagus in a flame proof skillet (like cast iron) and drizzle with olive oil.
Add a pinch of salt and pepper to taste.
When the asparagus starts to show some browning, stir/turn it and add lemon zest and tarragon.
Saute asparagus until tender crisp - roughly 5-7 minutes depending on how your skillet takes up heat so keep an eye on it so it doesn't turn black or get mushy. When in doubt, steal a spear from the skillet and sample it. Cook until its tenderness meets your approval.